Entanglement Monogamy of Tripartite Quantum States

Abstract

An interesting monogamy equation with the form of Pythagorean theorem is found for $2\otimes 2\otimes n$-dimensional pure states, which reveals the relation among bipartite concurrence, concurrence of assistance, and genuine tripartite entanglement. At the same time, a genuine tripartite entanglement monotone as a generalization of 3-tangle is naturally obtained for $(2\otimes 2\otimes n)$- dimensional pure states in terms of a distinct idea. For mixed states, the monogamy equation is reduced to a monogamy inequality. Both results for tripartite quantum states can be employed to multipartite quantum states.

5 pages, 1 figure

References in corpus (5)

• General Monogamy Inequality for Bipartite Qubit Entanglement
• Is Entanglement Monogamous?
• Duality for monogamy of entanglement
• Deterministic Entanglement of Assistance and Monogamy Constraints
• Global Entanglement for Multipartite Quantum States

Cited by in corpus (2)

• Genuine multipartite entanglement of symmmetric Gaussian states: Strong monogamy, unitary localization, scaling behavior, and molecular sharing structure
• Monogamy and entanglement in tripartite quantum states